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Finding the Third Proportional to 99,996.75 and 211,234.50

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Solution

The third proportional to 99,996.75 and 211,234.50 is: 446,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,996.75 : 211,234.50 = 211,234.50 : x
  2. Step 2: Convert to fraction form
    99,996.75/211,234.50 = 211,234.50/x
  3. Step 3: Cross multiply
    99,996.75x = 211,234.50 × 211,234.50
  4. Step 4: Simplify right side
    99,996.75x = 44,620,013,990.25
  5. Step 5: Solve for x
    x = 44,620,013,990.25/99,996.75
  6. Step 6: Final answer
    x = 446,214.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.